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Finding the Fourth Proportional to 3,774.63, 5,208.78 and 2,181.22

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Solution

The fourth proportional to 3,774.63, 5,208.78 and 2,181.22 is: 3,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.63 : 5,208.78 = 2,181.22 : x
  2. Step 2: Convert to fraction form
    3,774.63/5,208.78 = 2,181.22/x
  3. Step 3: Cross multiply
    3,774.63x = 5,208.78 × 2,181.22
  4. Step 4: Simplify right side
    3,774.63x = 11,361,495.11
  5. Step 5: Solve for x
    x = 11,361,495.11/3,774.63
  6. Step 6: Final answer
    x = 3,009.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.